Finite-Time Synchronization Control of Markov Jumping Discrete Complex Networks Suffering From Actuator Saturation: A Memory Event-Triggered Mechanism

Aiming at the influence of actuator saturation in complex networks, this paper studied the finite-time synchronization control problem of Markov jumping discrete complex networks (MJDCNs) with actuator saturation. By introducing a state feedback controller and saturation function, the MJDCNs model incorporating actuator saturation is established. Introducing a memory event-triggered mechanism in the networks can reduce the number of unnecessary event triggers, it can reduce systems energy consumption. Subsequently, sufficient conditions for achieving networks synchronization within a finite-time are derived using Lyapunov–Krasovskii function and linear matrix inequality. Finally, the effectiveness and feasibility of the proposed method are verified by numerical simulation.